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Finding the Fourth Proportional to 369,176.76, 509,590.50 and 216,264

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Solution

The fourth proportional to 369,176.76, 509,590.50 and 216,264 is: 298,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,176.76 : 509,590.50 = 216,264 : x
  2. Step 2: Convert to fraction form
    369,176.76/509,590.50 = 216,264/x
  3. Step 3: Cross multiply
    369,176.76x = 509,590.50 × 216,264
  4. Step 4: Simplify right side
    369,176.76x = 110,206,079,892
  5. Step 5: Solve for x
    x = 110,206,079,892/369,176.76
  6. Step 6: Final answer
    x = 298,518.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.